login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,0,0,0,1,0 for x=0,1,2,3,4,5,6
0

%I #4 Mar 31 2012 12:37:04

%S 1,7,45,637,16989,844999,80440531,14543199305,4988157792639,

%T 3250320727336649,4022745826944969378

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,0,0,0,1,0 for x=0,1,2,3,4,5,6

%C Every 0 is next to 0 5's, every 1 is next to 1 0's, every 2 is next to 2 0's, every 3 is next to 3 0's, every 4 is next to 4 0's, every 5 is next to 5 1's, every 6 is next to 6 0's

%e Some solutions with all values from 0 to 6 for 7X7X7

%e ........0..............0..............1..............0..............0

%e .......1.1............1.1............0.2............1.1............0.4

%e ......1.5.1..........1.5.1..........0.4.0..........1.5.1..........0.0.0

%e .....0.1.2.0........0.2.1.0........0.0.3.0........0.1.2.0........0.0.4.0

%e ....3.3.3.0.0......0.0.3.3.3......0.0.3.1.1......0.4.3.0.0......0.0.3.1.1

%e ...0.0.0.0.6.0....0.6.0.0.0.0....0.6.0.2.5.1....4.0.0.0.6.0....0.6.0.2.5.1

%e ..2.0.0.4.0.0.0..0.0.0.0.4.0.0..0.0.0.0.1.1.0..0.0.4.0.0.0.2..2.0.0.0.1.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 21 2012